Interpretation:
To rewrite the given system in polar coordinates. There is at least only limit cycle, and that if there are so many, they all have the similar period
Concept Introduction:
Poincare
Poincare
If there are no fixed points in the trapping region R, then according to the Poincare
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Nonlinear Dynamics and Chaos
- Show that the three points (x1,y1)(x2,y2) and (x3,y3) in the a plane are collinear if and only if the matrix [x1y11x2y21x3y31] has rank less than 3.arrow_forwardFind a system of two equations in two variables, x1 and x2, that has the solution set given by the parametric representation x1=t and x2=3t4, where t is any real number. Then show that the solutions to the system can also be written as x1=43+t3 and x2=t.arrow_forwardFind a basis for R2 that includes the vector (2,2).arrow_forward
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